Find the measure of the remote exterior angle.

m∠x = 128°

Step-by-step explanation:

Step 1: Find n

We use Supplementary Angles and Sum of Triangle Interior Angles to find n.

180 - (198 - 5n) = 5n - 18

m∠z + m∠y + m∠x₁ = 180°

(5n + 37) + (n + 7) + (5n - 18) = 180

Step 2: Solve for n

Solve by combining like terms and properties.

11n + 26 = 180

11n = 154

n = 14

Step 3: Plug in n into m∠x equation

198 - 5(14)

198 - 70

m∠x = 128°

The answer is D) 128

The remote exterior angle here is x.  The remote exterior and is always equivalent to the remote interior angles.  Thus, x = y + z.  

198 - 5n = 5n + 37 + n + 7

198 = 11n + 44

154 = 11n

n = 14

x = 198 - 5n

x = 198 - 70

x = 128 degrees

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line or a linear equation graph

step-by-step explanation: